Measures on Proportional Reduction in Error by Arithmetic, Geometric and Harmonic Means for Multi-way Contingency Tables

Kouji Yamamoto, Yuri Nozaki, Sadao Tomizawa

Abstract

For multi-way contingency tables with nominal categories, this paper proposes three kinds of proportional reduction in error measures, which describe the relative decrease in the probability of making an error in predicting the value of one variable when the values of the other variables are known, as opposed to when they are not known. The measures have forms of arithmetic, geometric and harmonic means. An example is shown.

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